{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YT5ACNYT3W4UE4SJBLRQVSM7BU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"29783e2c28049a80f0ff0611650ff1f95286ba87691d7e4580fec4a917d38816","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-10-02T14:30:28Z","title_canon_sha256":"311eb98ad2dc71c034932c709f81866a29481b8ae124be98f1ae958d5090ea60"},"schema_version":"1.0","source":{"id":"2310.01245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.01245","created_at":"2026-07-05T06:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"2310.01245v1","created_at":"2026-07-05T06:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.01245","created_at":"2026-07-05T06:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"YT5ACNYT3W4U","created_at":"2026-07-05T06:57:27Z"},{"alias_kind":"pith_short_16","alias_value":"YT5ACNYT3W4UE4SJ","created_at":"2026-07-05T06:57:27Z"},{"alias_kind":"pith_short_8","alias_value":"YT5ACNYT","created_at":"2026-07-05T06:57:27Z"}],"graph_snapshots":[{"event_id":"sha256:d618a7435e6e0a80881b587dd027b3b24af37fdc5f78cc15c9560760036b4407","target":"graph","created_at":"2026-07-05T06:57:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.01245/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have computed the first 30 even-N moments for the double fermionic (nf^2) part of the quark-to-gluon splitting function P_{gq} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. From these results we have determined the all-N form, and hence the exact x-space expression, using systems of Diophantine equations for its coefficients. The dominant and subdominant leading small-x nf^2 contributions to P_{gq}^(3)(x) are of the form 1/x ln x and ln^4 x, respectively; the leading large-x term is ln^4 (1-x). The coefficient of the first of these is","authors_text":"Amsterdam), A. Vogt (Liverpool U., Dept. Math.), F. Herzog (U. Edinburgh, G. Falcioni (Zurich U., Higgs Ctr. Theor. Phys.), Inst. Theor. Phys. II), J. Vermaseren (NIKHEF, S. Moch (Hamburg U., Turin U.)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-10-02T14:30:28Z","title":"The double fermionic contribution to the four-loop quark-to-gluon splitting function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.01245","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cae5f4801eb47e07f07b5a637c7a96928e2fc37dd24eb71b2ee6e1f0a66450a6","target":"record","created_at":"2026-07-05T06:57:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"29783e2c28049a80f0ff0611650ff1f95286ba87691d7e4580fec4a917d38816","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-10-02T14:30:28Z","title_canon_sha256":"311eb98ad2dc71c034932c709f81866a29481b8ae124be98f1ae958d5090ea60"},"schema_version":"1.0","source":{"id":"2310.01245","kind":"arxiv","version":1}},"canonical_sha256":"c4fa013713ddb94272490ae30ac99f0d28d5a748ddfb016ff61b6283489d4958","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4fa013713ddb94272490ae30ac99f0d28d5a748ddfb016ff61b6283489d4958","first_computed_at":"2026-07-05T06:57:27.231148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:57:27.231148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAniu0icuXBP9vr5Wv3+EUNC8fEvjvZpQOxBxQ+c/OO2ofeXV5gBjzEJI7MhBLxdEtER6fT0LycdPJFKzWvlAg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:57:27.231658Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.01245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cae5f4801eb47e07f07b5a637c7a96928e2fc37dd24eb71b2ee6e1f0a66450a6","sha256:d618a7435e6e0a80881b587dd027b3b24af37fdc5f78cc15c9560760036b4407"],"state_sha256":"345109549e81bbc3fc4e629ff71798a65498f41756b63d8d0053d0832a2067bd"}